arXiv 1310.78762013-10hep-latnucl-th

双色格点量子色动力学中有限温度下的磁催化（和逆催化）

Magnetic catalysis (and inverse catalysis) at finite temperature in two-color lattice QCD

E. -M. Ilgenfritz, M. Muller-Preussker, B. Petersson, A. Schreiber

备注：: 10 pages, 7 figures; revised version accepted by Phys. Rev. D
发表信息：: Phys. Rev. D 89, 054512 (2014)
DOI：: 10.1103/PhysRevD.89.054512

摘要：

研究了在均匀磁场背景B和非零温度T下，具有N_f=4个交错费米子自由度（不使用求根技巧）和等电荷q的双色格点量子色动力学.为了规避重整化作为裸耦合的函数，我们采用固定尺度的方法。研究了磁场对临界温度的影响。在相当小的赝标介子质量（$m_π \approx 175 \mathrm{MeV} \approx T_c(B=0)$），我们证实了一个单调上升的夸克凝聚体$<\barψ ψ>$与增加磁场强度，即磁催化，只要一个是停留在禁闭或解除禁闭阶段。在过渡区，我们发现的非单调行为的$T_c(B)$在低磁场强度（$qB<0.8 \mathrm{GeV}^2$）和一个明显的上升，在较强的磁场的迹象。最小值$T_c(B^{*}) < T_c(B=0)$的存在将为$<\barψ ψ>$随$B$升高（逆磁催化）留下温度窗口。

英文摘要：

Two-color lattice QCD with N_f=4 staggered fermion degrees of freedom (no rooting trick is applied) with equal electric charge q is studied in a homogeneous magnetic background field B and at non-zero temperature T. In order to circumvent renormalization as a function of the bare coupling we apply a fixed-scale approach. We study the influence of the magnetic field on the critical temperature. At rather small pseudo-scalar meson mass ($m_π \approx 175 \mathrm{MeV} \approx T_c(B=0)$) we confirm a monotonic rise of the quark condensate $<\barψ ψ>$ with increasing magnetic field strength, i.e. magnetic catalysis, as long as one is staying within the confinement or deconfinement phase. In the transition region we find indications for a non-monotonic behavior of $T_c(B)$ at low magnetic field strength ($qB<0.8 \mathrm{GeV}^2$) and a clear rise at stronger magnetic field. The conjectured existence of a minimum value $T_c(B^{*}) < T_c(B=0)$ would leave a temperature window for a decrease of $<\barψ ψ>$ with rising $B$ (inverse magnetic catalysis) also in the present model.

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